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232480950 = 235213177013
BaseRepresentation
bin11011101101101…
…10000010110110
3121012110020220120
431312312002312
5434003342300
635022512410
75522025012
oct1566660266
9535406816
10232480950
1110a258419
1265a35706
133921a5c0
1422c39542
15156233a0
hexddb60b6

232480950 has 96 divisors (see below), whose sum is σ = 657520416. Its totient is φ = 53852160.

The previous prime is 232480939. The next prime is 232480951. The reversal of 232480950 is 59084232.

It is a happy number.

232480950 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2324809502 = 108094784225805000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232480951) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29644 + ... + 36656.

It is an arithmetic number, because the mean of its divisors is an integer number (6849171).

Almost surely, 2232480950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232480950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328760208).

232480950 is an abundant number, since it is smaller than the sum of its proper divisors (425039466).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

232480950 is a wasteful number, since it uses less digits than its factorization.

232480950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7058 (or 7053 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 232480950 is about 15247.3259950721. The cubic root of 232480950 is about 614.8876786082.

The spelling of 232480950 in words is "two hundred thirty-two million, four hundred eighty thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 17 25 26 30 34 39 50 51 65 75 78 85 102 130 150 170 195 221 255 325 390 425 442 510 650 663 850 975 1105 1275 1326 1950 2210 2550 3315 5525 6630 7013 11050 14026 16575 21039 33150 35065 42078 70130 91169 105195 119221 175325 182338 210390 238442 273507 350650 357663 455845 525975 547014 596105 715326 911690 1051950 1192210 1367535 1549873 1788315 2279225 2735070 2980525 3099746 3576630 4558450 4649619 5961050 6837675 7749365 8941575 9299238 13675350 15498730 17883150 23248095 38746825 46496190 77493650 116240475 232480950